Title: Ramanujan's $q$-continued fractions
Speaker: Gaurav Bhatnagar
When: Tuesday, January 14, 2020; 4:00--5:00 pm,
Where: Seminar Room, Indian Statistical Center, 7 SJS Sansanwal Marg, Delhi 110016
ABSTRACT
It is exactly a hundred years since Ramanujan died at an early age of 32 years, but his mathematical legacy lives on. One of the things he was famous for was his work on continued fractions. We will give a brief introduction to Ramanujan's life and the material available on his story and his work. We will show Ramanujan's $q$-continued fractions and show how an elementary idea used by Euler can be used to prove many of Ramanujan's continued fractions. We expect to briefly mention some topics of current research interest. Students are welcome; much of the talk will be suitable for a general audience.
